Answer:
50
Step-by-step explanation:
The values of a triangle have to equal 180. Subtract 180 by the two angles.
180-52=128
128-78=50
So M is 80 degrees.
-hope it helps
What is the baker's percentage of 32 fluid ounces of water in a bread dough formula calling for 48 ounces of flour
The baker's percentage of water in the bread dough formula is 66.67%.
Given water is 32 fluid ounces
Flour is 48 ounces
Now convert the fluid ounces of water to weight ounces.
The conversion factor is different for each ingredient, as the density varies.
For water, 1 fluid ounce is equal to 1 ounce in weight.
So, 32 fluid ounces of water is equal to 32 ounces in weight.
Now calculate the baker's percentage of water:
Baker's Percentage of Water = (Weight of Water / Weight of Flour) × 100
Baker's Percentage of Water = (32 ounces / 48 ounces) × 100
Baker's Percentage of Water = (2/3) × 100
Baker's Percentage of Water = 66.67%
To learn more on Percentage click:
https://brainly.com/question/24159063
#SPJ4
Construct a 95% confidence interval (1 point) Q-2 (7 Points) 2. Following are three data points on dependent (Y) and one explanatory variable(x). Fit a regression model by minimizing the sum of squared residuals.(s Points) Y X 3 1 5 1 4 3 Yr the herved values, + Ax Yare the fitted values, and are the residuals
It is not possible to provide a precise explanation or calculation for constructing a confidence interval or fitting a regression model in this context.
What are the steps for solving a quadratic equation by factoring?To construct a confidence interval, several key components are needed:
Sample Size: The number of observations or data points in the sample.Sample Mean: The average value of the data points in the sample.Sample Standard Deviation: A measure of the spread or variability of the data points in the sample.Confidence Level: The desired level of confidence, typically expressed as a percentage (e.g., 95%).With these components, a confidence interval can be calculated to estimate the true population parameter (e.g., mean, proportion) within a certain range.
The formula for constructing a confidence interval depends on the specific parameter being estimated and the distribution of the data.
In the case of a regression model, additional information is needed, such as the equation or relationship between the dependent variable (Y) and explanatory variable (X).
This equation is used to estimate the fitted values and residuals.
Fitted values are the predicted values of the dependent variable based on the regression model, while residuals are the differences between the observed values and the fitted values.
Without the specific details of the sample size, mean, standard deviation, and the regression equation.
Learn more about precise explanation
brainly.com/question/1008284
#SPJ11
If f(x) is a linear function and given f(3)=−3 and f(8)=1, determine the linear function. a.) What is the slope? (Be sure to leave your answer in reduced fraction form.) b.) What is the y-intercept? (Be sure to leave your answer in reduced fraction form.) c.) What is f(x)? f(x)=
Answer:
slope is 4/5
y intercept is -27/5
f(x) = 4/5x -27/5
Step-by-step explanation:
The slope is
f(8) - f(3)
----------------
8-3
1 - -3
------------
8-3
1+3
------------
5
4/5
We can use the slope intercept form to find the y intercept
y = mx+b where m is the slope and b is the y intercept
y = 4/5x +b
Using the point (8,1)
1 = 4/5(8)+b
1 = 32/5 +b
Subtract 32/5 from each side
5/5-32/5 = b
-27/5 = b
y = 4/5x -27/5
f(x) = 4/5x -27/5
triangle A’ B’ C’ is the image of triangle ABC
pls help i am so stuck!
The horizontal change from triangle ABC to triangle ABC include the following: A. right 5 units.
The vertical change from triangle ABC to triangle ABC include the following: C. down 2 units.
The translation rule in the standard format is: (x, y) → (x + 5, y - 2).
What is a translation?In Mathematics, the translation of a graph to the left is a type of transformation that simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph to the right is a type of transformation that simply means adding a digit to the value on the x-coordinate of the pre-image.
By translating the pre-image of triangle ABC horizontally right by 5 units and vertically down 2 units, the coordinate A of triangle ABC include the following:
(x, y) → (x + 5, y - 2)
A (3, 5) → (3 + 2, 5 - 2) = A' (5, 3).
Read more on translation here: brainly.com/question/26869095
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 10 in3/min. (a) how fast is the level in the pot rising when the coffee in the cone is 5 in deep?
The level in the pot rising when the coffee in the cone is 5 in deep is 0.35 in/min.
Here the variables are the height of the coffee in the filter hf , the radius of the top of the coffee in the filter rf , and the height of the coffee in the pot hp:
We allowed Vp to represent the volume of coffee in the pot. We are interested in the instant when
hf = 5 in and dVp/dt = 10 in³/min.
The question is dhp/dt =? when dVp/dt = 10 in³/min and hf = 5 in
We need to relate hp to the other variables. In the pot (idealized as a cylinder), we have the volume Vp as Vp = π(3)²hp = 9πhp in³(since the volume of a cylinder of radius r and height h is V = πr²h).
Differentiation of Vp with respect to time gives dVp/dt = 9πhp/dt or
dhp/dt = (1/9π).(dVp/dt)
When dVp/dt = 10 in³/min and hf = 5 in, we have
dhp/ dt = 1/9π(10)
= 10/9π in/min
dhp/ dt ≈ 0.35 in/min (notice that the answer here is independent of hf ).
Hence, the level in the pot rising when the coffee in the cone is 5 in deep is 0.35 in/min.
To know more about volume check the below link:
https://brainly.com/question/463363
#SPJ4
Find the component form of u v given the lengths of u and v and the angles that u and v make with the positive x-axis. u = 5, u = 9 v = 1, v = 5
The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:
\(\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}\)
where |v| is the magnitude of the vector component and theta is the angle of the vector.
Using the magnitude and angle given for vector u we can write its component form :
\(\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}\)
Doing the same for v
\(\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}\)
Now adding both vector together
\(\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})\)
To learn more about vector here,
https://brainly.com/question/13322477
#SPJ4
Compute the first-order partial derivatives of the function z = cosh (6t - cos(x)). (Give exact answers. Use symbolic notation and fractions where needed.)
The first-order partial derivatives of the function z = cosh (6t - cos(x)) are given by \(z_x = sin(x) * -sinh(6t - cos(x)) and z_t = 6 * sinh(6t - cos(x))\).
The first-order partial derivatives of the function z = cosh (6t - cos(x)) are given by:
\(z_x = sin(x) * -sinh(6t - cos(x))\\z_t = 6 * sinh(6t - cos(x))\)
To calculate \(z_x,\) we use the chain rule, which states that the derivative of a composition of two functions is equal to the derivative of the outer function times the derivative of the inner function. We can express z = cosh(u) as \(z = u' * cosh'(u)\). In our case, u = 6t - cos(x), so we can write \(z = (6t - cos(x))' * cosh'(6t - cos(x))\). Differentiating with respect to x, we have \(z_x = (-sin(x)) * cosh'(6t - cos(x))\). Using the formula for cosh'(u) = sinh(u), we get \(z_x = sin(x) * -sinh(6t - cos(x)).\)
To calculate \(z_t\), we again use the chain rule, but now differentiate with respect to t. We have \(z_t = (6t - cos(x))' * cosh'(6t - cos(x))\). Differentiating with respect to t, we have \(z_t = 6 * cosh'(6t - cos(x))\). Using the formula for cosh'(u) = sinh(u) once more, we get \(z_t = 6 * sinh(6t - cos(x))\).
The first-order partial derivatives of the function z = cosh (6t - cos(x)) are given by \(z_x = sin(x) * -sinh(6t - cos(x)) and z_t = 6 * sinh(6t - cos(x)).\)
Learn more about first-order partial derivatives here:
https://brainly.com/question/30884117
#SPJ4
the population of a town increased from 3600 in 2005 to 5650 in 2011. find the absolute and relative (percent) increase.
Absolute increase in population will be 2050
And percentage increase will be 56.94 %
We have given population in 2005 is 3600
And population in 2011 is 5650
So absolute increase in population = 5650-3600 = 2050
We have to find the percentage increase in population
So relative percentage increase in population will be 2050/3600 *100 = 56.94 %
So population will increase by 60 %
learn more about of population here
https://brainly.com/question/14348251
#SPJ4
Una recta pasa por los puntos A(-40) y B(2,-3).calcular su área
Answer:
Supongo que la pregunta completa es:
"Una recta pasa por los puntos A(-4, 0) y B(2, -3)"
Luego dice "calcular su área", pero una recta es un elemento unidimensional (los cuales no tienen área, el área es un concepto bidimensional).
Por lo que el área de esta recta no está definida.
Ignorando esto, podemos encontrar la ecuación que define a nuestra recta.
Sabemos que una recta se escribe como:
y = a*x + b
donde a es la pendiente y b es la ordenada al origen.
Sabemos que para una recta que pasa por los puntos (x₁, y₁) y (x₂, y₂), la pendiente será:
a = (y₂ - y₁)/(x₂ - x₁)
Entonces, para nuestra recta que pasa por los puntos (-4, 0) y (2, - 3) la pendiente será:
a = (-3 - 0)/(2 - (-4) )
a = -3/6 = -1/2
Entonces nuestra línea es algo como:
y = (-1/2)*x + b
para encontrar el valor de b, usamos el hecho de que esta línea pasa por el punto (2, -3)
esto significa que cuando x = 2, tenemos que tener y = -3
reemplazando esos dos valores obtenemos
-3 = (-1/2)*2 + b
-3 = -1 + b
-3 + 1 = b
-2 = b
La ecuación que define a esta recta es:
y = -(1/2)*x - 2
Nuevamente, el área de esta recta no está definida, por lo que no podemos calcular el área de esta recta.
Quadrilateral DEFG is dilated by a factor of 0.5 with the center (0,0) what are the new coordinates of point D?
Answer:
-3,-2
Step-by--step explanation:
Which questions can the manager ask that will result in discrete quantitative data? check all that apply. what movie did you just see? what genre of movie is your favorite? how much did you spend at the movies today? did you order anything from the concession stand?
The question that will result in discrete quantitative data is:
how much did you spend at the movies today?
Which questions can the manager ask that will result in discrete quantitative data?Discrete quantitative data refers to data that can take only a given set of numeric values (not like continuous quantitative data, where the data can take "any real value").
So, a question like "what genre of movie is your favorite?" is not the correct option, because the answer to that question will not be a number.
"did you order anything from the concession stand?" The answer to this question is also not a number, so this is also wrong.
Now, the correct option is "how much did you spend at the movies today?".
Here the answer will be a quantity (a number) and that number only can be a multiple of the objects that are sold on the cine theater (food, tickets, etc) so that number belongs to a discrete set.
Thus, we conclude that this question is the correct option.
If you want to learn more about discrete data:
https://brainly.com/question/22916429
#SPJ1
Answer:
C) How much did you spend at the movies today?
Step-by-step explanation:
edge 2023
Consider a line process with 3 processing stages. The production requires each unit to go through Stage A through Stage C in sequence. The characteristics of the Stages are given below: Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100% Determine the system capacity. Which stage is the bottleneck? What is the utilization of Stage 3.
The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.
A line process has three processing stages with the characteristics given below:
Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%
To determine the system capacity and the bottleneck stage and utilization of Stage 3:
The system capacity is calculated by the product of the processing capacity of each stage:
1 x 1 x 2 = 2 units per minute
The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:
Process time per unit = 1 + 2 + 3 = 6 minutes per unit
Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit
The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.
However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.
Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.
Know more about bottleneck here,
https://brainly.com/question/32590341
#SPJ11
In statistical experiments, each time the experiment is repeateda. the same outcome must occurb. the same outcome can not occur againc. a different outcome may occurd. None of the other answers is correct.
In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.
Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.
The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.
Learn more about statistical experiments here: https://brainly.com/question/22044990
#SPJ4
You take a road trip up north with your family. You begin a hike in Death Valley, California at an elevation of 86 meters. You hike up another 35 meters, then down another 148 meters to the other side of the hill. What elevation are you at when you reach the other side of the hill?
Answer: - 27 meters
Step-by-step explanation:
1. 86 m Start at 86 meters
2. +35 m Go up another 35 meters
3. -148 m Go down 148 meters.
4. - 27 meters Net change in elevation
The net result is a negative 27 meters in elevation from the start of the hike.
The coordinates of point T are (0,4). The midpoint of ST is (7.-8). Find the coordinates of point S.
Answer:
S is (14, -20).
Step-by-step explanation:
Let the coordinates of S be (x, y), then:
(x + 0) /2 = 7
---> x = 14.
(y + 4)/2 = -8
---> x + 4 = -16
---> x = -20.
Which graph shows the image of the triangle below after it is reflected over the x-axis?
Answer:
C
Step-by-step explanation:
Imagine folding the paper at the x-axis line
you will see the base of the triangle will be at (1, -1) and (3, -1), and the top of the triangle will be reflected at (1, -3)
Option C matches the description
suppose that in a barn, there is a cow, a horse, a pig, and a goat. if two of the animals leave the barn, what is the probability that one of them is the goat?
Answer:
50% or 1/2
Step-by-step explanation:
Because there are 4 animals in the barn, if two animals leave (out of 4), then there are 50% of the animals in the barn and 50% of the animals leaving the barn.
Hope this helps! If you find my answer helpful, please consider marking brainliest! If you have any questions, feel free to ask in the comments!
Which sequences are geometric?
98, 49, 21, 9.75
1, 2, 4, 8
2, 8, 32, 128
100, 25, 6.25, 1.5625
Step-by-step explanation:
Just think of these as your building blocks for geometry success.
Diagram for success. ...
Know your properties and theorems.
Understand Euclid's postulates.
Learn the language of math.
Know your angles. ...
Know your triangles. ...
Figure out what you want and what you're given. ...
Now fill in the rest.
evaluate 4y when y = 5
Step-by-step explanation:
4y
4 (5)
4×5
20
y=20
Hope its helpfulllll
Hey there!
4y
= 4(5)
= 4 + 4 + 4 + 4 + 4
= 8 + 8 + 4
= 16 + 4
= 20
= 4(5)
= 20
Therefore your answer is: 20
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The area of a rectangular piece of land is 2/3 square mile.
One dimension is 1 1⁄2 miles.
Answer:
4/9 miles
Step-by-step explanation:
\(\sf Area = \dfrac{2}{3} \ square \ miles\\\)
\(\sf length = 1\dfrac{1}{2}=\dfrac{3}{2} \ miles\)
\(\sf Width \ of \ rectangle = \dfrac{Area}{length}\)
\(\sf = \dfrac{2}{3} \div \ \dfrac{3}{2}\\\\ =\dfrac{2}{3}*\dfrac{2}{3}\\\\ =\dfrac{4}{9} \ miles\\\)
Use KCF method for faction division.
K- Keep the first fraction.
C - Change the division to multiplication.
F - Flip the second fraction.
Please help me with my math please
Fantasy 5 is being played. The objective is to match at least two of the winning five numbers chosen from 40 possible ones. Each ticket costs $1. The following prizes will be awarded:
all 5 of 5 winning numbers - $unknown
4 of the 5 winning numbers - $500
3 of the 5 winning numbers - $5
2 of the winning numbers - $1
Determine the following probabilities.
a) Matching exactly 5 out of 5.
b) Matching exactly 4 out of 5.
c) Matching exactly 3 out of 5.
d) Matching 2 out of 5.
Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1
a) The probability of matching exactly 5 out of 5 winning numbers is given by the number of ways to choose 5 winning numbers out of 40, divided by the total number of possible outcomes:
Probability of matching 5 out of 5 = (Number of ways to choose 5 winning numbers out of 40) / (Total number of possible outcomes)
The number of ways to choose 5 winning numbers out of 40 is given by the combination formula:
C(40,5) = 40! / (5! * (40-5)!) = 40 * 39 * 38 * 37 * 36 / (5 * 4 * 3 * 2 * 1) = 658008
The total number of possible outcomes is the number of ways to choose any 5 numbers out of 40, which is also given by the combination formula:
C(40,5) = 40! / (5! * (40-5)!) = 40 * 39 * 38 * 37 * 36 / (5 * 4 * 3 * 2 * 1) = 658008
Therefore, the probability of matching exactly 5 out of 5 winning numbers is:
Probability of matching 5 out of 5 = 658008 / 658008 = 1
b) The probability of matching exactly 4 out of 5 winning numbers is given by the number of ways to choose 4 winning numbers out of 5 and one non-winning number out of 35, divided by the total number of possible outcomes:
Probability of matching 4 out of 5 = (Number of ways to choose 4 winning numbers out of 5) * (Number of ways to choose 1 non-winning number out of 35) / (Total number of possible outcomes)
The number of ways to choose 4 winning numbers out of 5 is 5, since there are 5 different ways to choose which of the 5 winning numbers will not be matched.
The number of ways to choose 1 non-winning number out of 35 is given by the combination formula:
C(35,1) = 35
The total number of possible outcomes is the same as before:
C(40,5) = 40 * 39 * 38 * 37 * 36 / (5 * 4 * 3 * 2 * 1) = 658008
Therefore, the probability of matching exactly 4 out of 5 winning numbers is:
Probability of matching 4 out of 5 = 5 * 35 / 658008 = 0.000189
c) The probability of matching exactly 3 out of 5 winning numbers is given by the number of ways to choose 3 winning numbers out of 5 and two non-winning numbers out of 35, divided by the total number of possible outcomes:
Probability of matching 3 out of 5 = (Number of ways to choose 3 winning numbers out of 5) * (Number of ways to choose 2 non-winning numbers out of 35) / (Total number of possible outcomes)
The number of ways to choose 3 winning numbers out of 5 is given by the combination formula:
C(5,3) = 5! / (3! * (5-3)!) = 10
The number of ways to choose 2 non-winning numbers out of 35 is given by the combination formula:
C(35,2) = 35! / (2! * (35-2)!) = 35 * 34 / (2 * 1) = 595
The total number of possible outcomes is the same as before:
C(40,5) = 40 * 39 * 38 * 37 * 36 / (5 * 4 * 3 * 2 * 1) = 658008
Therefore, the probability of matching exactly 3 out of 5 winning numbers is:
Probability of matching 3 out of 5 = 10 * 595 / 658008 = 0.00905
d) The probability of matching exactly 2 out of 5 winning numbers is given by the number of ways to choose 2 winning numbers out of 5 and three non-winning numbers out of 35, divided by the total number of possible outcomes:
Probability of matching 2 out of 5 = (Number of ways to choose 2 winning numbers out of 5) * (Number of ways to choose 3 non-winning numbers out of 35) / (Total number of possible outcomes)
The number of ways to choose 2 winning numbers out of 5 is given by the combination formula:
C(5,2) = 5! / (2! * (5-2)!) = 10
The number of ways to choose 3 non-winning numbers out of 35 is given by the combination formula:
C(35,3) = 35! / (3! * (35-3)!) = 35 * 34 * 33 / (3 * 2 * 1) = 6545
The total number of possible outcomes is the same as before:
C(40,5) = 40 * 39 * 38 * 37 * 36 / (5 * 4 * 3 * 2 * 1) = 658008
Therefore, the probability of matching exactly 2 out of 5 winning numbers is:
Probability of matching 2 out of 5 = 10 * 6545 / 658008 = 0.0998
Learn more about total number of possible outcomes here brainly.com/question/2883198
#SPJ4
The mean number of goals a football team scores per match in
the first 9 matches of a competition is 5.
a) How many goals does the team score in total in the first 9
matches of the competition?
b) If the team scores 2 goals in their next match, what would their
mean number of goals after 10 matches be?
The team scores 45 goals in total in the first 9 matches of the competition and the mean number of goals after 10 matches would be 5.2
If the mean number of goals scored per match is 5, then the total number of goals scored in 9 matches is:
Total goals = mean × number of matches
Total goals = 5 × 9
Total goals = 45
Therefore, the team scores 45 goals in total in the first 9 matches of the competition.
b) After 10 matches, the total number of goals scored by the team would be:
Total goals = mean × number of matches
Total goals = 5×10
Total goals = 50
If the team scores 2 goals in their next match, then the total number of goals scored by the team would be:
Total goals = 50 + 2
Total goals = 52
Therefore, the mean number of goals after 10 matches would be:
Mean = Total goals / number of matches
Mean = 52 / 10
Mean = 5.2
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ1
the american college of obstetricians and gynecologists reports that 32% of all births in the united states take place by caesarian section each year. ( national vital statistics reports , mar. 2010). a. in a random sample of 1,000 births, how many, on average, will take place by caesarian section? b. what is the standard deviation of the number of caesarian section births in a sample of 1,000 births? c. use your answers to parts a and b to form an interval that is likely to contain the number of caesarian section births in a sample of 1,000 births
a. In a random sample of 1,000 births, the expected number of births that take place by Caesarian section is:
E(X) = n*p = 1,000 * 0.32 = 320 births
Therefore, on average, 320 births out of 1,000 will take place by Caesarian section.
b. The variance of the number of Caesarian section births in a sample of 1,000 births is:
Var(X) = np(1-p) = 1,000 * 0.32 * (1-0.32) = 217.60
The standard deviation is the square root of the variance:
SD(X) = sqrt(Var(X)) = sqrt(217.60) = 14.76
Therefore, the standard deviation of the number of Caesarian section births in a sample of 1,000 births is 14.76.
c. To form an interval that is likely to contain the number of Caesarian section births in a sample of 1,000 births, we can use the normal distribution and the central limit theorem. Since n*p = 320 is greater than 10, we can assume that the distribution of the number of Caesarian section births in a sample of 1,000 births is approximately normal.
The 95% confidence interval for the number of Caesarian section births is:
320 ± 1.96*(14.76) = (291.16, 348.84)
Therefore, we can be 95% confident that the number of Caesarian section births in a sample of 1,000 births will be between 291 and 349.
Learn more about Caesarian section, here:
brainly.com/question/14361293
#SPJ11
The top five test scores in Mr. Rhodes’s class were: 98, 92, 96, 97, and 97. What is the mean absolute deviation?
Answer:
A
Step-by-step explanation:
please help
Select all the correct answers.
Which expressions are equivalent to the given expression?
It's (A).
................................
The above expression can be rewritten as
log(10) x^5 + log(10) 20 - log(10) 10
= log(10) [(20x^5)/10]
= log(10) (2x^5)
Find h as indicated in the figure. Round to the nearest foot.
By using trigonometric functions and law of sines, the length h indicated in the figure is approximately 87.997 feet.
What is the value of a length of a triangle within a geometric system?
In this system we find a picture of a geometric system formed by the two triangles, one of which with a right angle. We need to use trigonometric functions, law of sines and law of cosine to determine the missing length. First, use the law of sines:
(129 ft) / sin 33.7° = r / sin 26°
r = 129 ft × sin 26° / sin 33.7°
r ≈ 101.920 ft
Lastly, we find the value of the length h by trigonometric functions:
h = r · sin 59.7°
h = (101.920 ft) · sin 59.7°
h ≈ 87.997 ft
The length h indicated in the figure is approximately 87.997 feet.
To learn more on trigonometric functions: https://brainly.com/question/14746686
#SPJ1
Why is the sample mean an unbiased estimator of the population mean?.
how to multiply fractions with the same denominator
when multiplying fractions , multiply across the numerator and denominator
you dont need common denominators
example
\(\frac{1}{2}*\frac{4}{5}=\frac{1*4}{2*5}\)
Hope this helps : -)
- Jeron
A phone company offers a mobile phone plan for a monthly fee of $19.95 plus $0.05 for each minute used during the month. Which equation below BEST represents the cost, y, for one month when x minutes are used?
Answer:
y = 19.95 + .05x or y = .05x + 19.95
Step-by-step explanation: